This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A199784 #9 Feb 08 2025 22:30:15
%S A199784 1,2,2,3,0,5,4,0,6,5,5,1,1,1,0,2,5,7,1,3,5,0,4,8,0,4,9,4,7,2,1,9,2,8,
%T A199784 6,9,1,7,4,0,2,7,3,8,8,0,5,8,3,4,0,0,1,0,9,7,3,4,3,6,4,6,8,8,3,7,6,6,
%U A199784 4,9,6,6,5,1,4,5,7,5,8,5,2,5,0,3,7,8,0,7,8,9,2,1,2,4,6,1,9,9,0
%N A199784 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=3*sin(x).
%C A199784 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199784 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199784 1.223054065511102571350480494721928691740...
%t A199784 a = 3; b = -4; c = 3;
%t A199784 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199784 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199784 r = x /. FindRoot[f[x] == g[x], {x, 1.22, 1.23}, WorkingPrecision -> 110]
%t A199784 RealDigits[r] (* A199784 *)
%Y A199784 Cf. A199597.
%K A199784 nonn,cons
%O A199784 1,2
%A A199784 _Clark Kimberling_, Nov 10 2011